A simple twist braid like this is kind of a fall back for us if I am in a hurry, but this simple and pretty braid is almost a trademark for Jenn over a Girly Do's:) She's crazy-creative, so go check her out on my sidebar!
So to do this one, I let Alex's hair fall in its natural part. In her case, it is very far to the side. If your princess has a part closer to the middle, you could do a braid on each side.
To get the relaxed look for this one, I don't twist the pieces. So, just take two pieces toward the front and cross them over each other. Before crossing them again, grab a little piece of hair from the section you want braided and add it to the bottom piece. Keep going and you'll end up with a nice relaxed twist braid!
When you have braided as much as you want, twist the two pieces the same direction and then cross them over the opposite way.
And perfect for playtime:)